Sharif University of TechnologyScientia Iranica1026-309820420130801Matched Pole-Zero State-Space Model and Continuous-Time PropertiesMatched Pole-Zero State-Space Model and
Continuous-Time Properties119312013392ENAmir H.D. MarkaziSchool of Mechanical Engineering, Iran University of Science and Technology, Tehran, IranJournal Article20130724The matched pole-zero (MPZ) model is a widely used technique for discrete-
time approximation of continuous-time controllers. In this article a new state-
space representation for the (MPZ) model is presented. The new formulation
can be used for direct discretization of state-space controllers, and can be eas-
ily automated on a digital computer. The most important advantage of the
proposed representation is that it preserves the dynamic structure of the orig-
inal continuous-time realization, i.e., the physical meaning of the states and
the direction of eigenvectors remain unchanged. In fact, the new method pro-
vides, exactly, the same dynamic state equations as the step-invariant model,
together with some modifications on the static output state equation.
Up to now, due to the lack of such an eigenstructure-preserving state-
space representations, most of the time domain studies on the effects of dis-
crete approximation of analog controllers were mostly performed using the
step-invariant model, although that method is seldom used for actual dis-
cretization of controllers. The new formulation, paves the way for extending
those studies to the case of the more widely used MPZ method.http://scientiairanica.sharif.edu/article_3392_6215f1d41ff66a0bcf64a78d2f419ad6.pdf